21100011101 has 32 divisors (see below), whose sum is σ = 24399470592. Its totient is φ = 18096249600.

The previous prime is 21100011071. The next prime is 21100011143. The reversal of 21100011101 is 10111000112.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-21100011101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593956 + ... + 1607138.

It is an arithmetic number, because the mean of its divisors is an integer number (762483456).

Almost surely, 2^21100011101 is an apocalyptic number.

It is an amenable number.

21100011101 is a deficient number, since it is larger than the sum of its proper divisors (3299459491).

21100011101 is a wasteful number, since it uses less digits than its factorization.

21100011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 21100011101 its reverse (10111000112), we get a palindrome (31211011213).

It can be divided in two parts, 21100011 and 101, that added together give a palindrome (21100112).

The spelling of 21100011101 in words is "twenty-one billion, one hundred million, eleven thousand, one hundred one".